摘要
选择中心挠度为摄动参数，利用摄动方法将正交异性椭圆薄板大挠度问题的非线性偏微分方程组逐级线性化，导出了各级摄动对应的几个线性偏微分方程组，然后再借助变分法求解。
Based on V. Karmans theory, a set of nonlinear partial differential equations for large deflection of orthotropic elliptic thin plates is converted step by step into several sets of linear ones by taking the dimensionless central deflection as the perturbation parameter. Then the linear equations for the plates with various size ratios are solved with the variational method. The load versus deflection curves are obtained.
出处
《华中理工大学学报》
CSCD
北大核心
1997年第3期66-68,共3页
Journal of Huazhong University of Science and Technology
基金
国防科技预研基金
关键词
摄动法
大挠度
正交异性
薄板
椭圆薄板
perturbation method
variational principle
large deflection
orthotropic thin plates
